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Finding the Third Proportional to 37,604.25 and 81,692.44

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Solution

The third proportional to 37,604.25 and 81,692.44 is: 177,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,604.25 : 81,692.44 = 81,692.44 : x
  2. Step 2: Convert to fraction form
    37,604.25/81,692.44 = 81,692.44/x
  3. Step 3: Cross multiply
    37,604.25x = 81,692.44 × 81,692.44
  4. Step 4: Simplify right side
    37,604.25x = 6,673,654,344.69
  5. Step 5: Solve for x
    x = 6,673,654,344.69/37,604.25
  6. Step 6: Final answer
    x = 177,470.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.